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Author

Jian Li

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Preprint Sep 2026

Hydroelastic waves near shear flows

In this paper, we prove that symmetric, doubly-periodic, three-dimensional hydroelastic waves of small amplitude, bifurcating from a non-uniform shear flow, are necessarily two-dimensional to leading order. A detailed analysis of the solvability condition at quadratic order reveals that all Fourier coefficients with tr...

Jian Li, Shao-Jie Yang · 0 citations
Preprint Sep 2026

Stabilization of hydroelastic waves in deep water

We consider the stabilization of two-dimensional periodic hydroelastic waves in deep water beneath a massless nonlinear Cosserat sheet by means of a localized pres- sure feedback. For sufficiently regular solutions, under an explicit condition relating gravity, flexural rigidity and the localization profile, we prove a...

Jian Li, Shao-Jie Yang · 0 citations

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